Finding the Fourth Proportional to 25,192,099,803,516, 37,788,149,795,940 and 7,081,305,776,677.20
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Solution
The fourth proportional to 25,192,099,803,516, 37,788,149,795,940 and 7,081,305,776,677.20 is: 10,621,958,690,501.32
Step by Step Solution
- Step 1: Write the proportion equation
25,192,099,803,516 : 37,788,149,795,940 = 7,081,305,776,677.20 : x - Step 2: Convert to fraction form
25,192,099,803,516/37,788,149,795,940 = 7,081,305,776,677.20/x - Step 3: Cross multiply
25,192,099,803,516x = 37,788,149,795,940 × 7,081,305,776,677.20 - Step 4: Simplify right side
25,192,099,803,516x = 267,589,443,439,933,281,972,256,768 - Step 5: Solve for x
x = 267,589,443,439,933,281,972,256,768/25,192,099,803,516 - Step 6: Final answer
x = 10,621,958,690,501.32
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Why These Related Problems?
These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.